(Technology required to generate a best-fit quadratic.)

Chapter 8, Problem 8.3.22

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(Technology required to generate a best-fit quadratic.) The accompanying graph of the data file INCLINE shows the motion of a cart, initially at the bottom of an inclined plane, after it was given a push toward a motion detector positioned at the top of the plane. The distance (in feet) of the cart from the top of the plane is plotted vs. time (in seconds). The motion can be modeled with a quadratic function. a. Estimate the coordinates of the vertex. Describe what is happening to the cart at the vertex. b. Use technology to generate a best-fit quadratic to the data. c. Calculate the coordinates of the vertex.

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